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arXiv · 2607.05725

Decay of solutions and bilinear control to trajectories of a 1D degenerate parabolic system

Alfredo S. Gamboa·André Da Rocha Lopes·Luis P. Yapu
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Abstract

This paper is concerned with the decay of solutions and the analysis of the local and global exact controllability to trajectories for a class of one-dimensional nonlinear parabolic systems with weakly degenerate diffusion coefficients. The system is controlled through the coefficient of the reaction term. Our approach relies on a well-known local inversion method combined with suitable a priori estimates specifically adapted to the degenerate setting.

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Alfredo S. Gamboa, André Da Rocha Lopes, Luis P. Yapu. 2026-07-07. Decay of solutions and bilinear control to trajectories of a 1D degenerate parabolic system. https://arxiv.org/abs/2607.05725

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